Difference between revisions of "Kuznetsova equation"

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(Created page with "Kuznetsova equation refers to problem below. Find integer \( x,y,z \) such that for any integer \( n \) there exist integer \( m \) such that \( a^{bn+c}=bm+3c \)")
 
 
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[[Kuznetsova equation]] refers to problem below.
 
[[Kuznetsova equation]] refers to problem below.
   
Find integer \( x,y,z \) such that
+
Find integer \( A,B,C \) such that
   
for any integer \( n \) there exist integer \( m \) such that
+
for any non-negative integer \( n \) there exist integer \( m \) such that
   
\( a^{bn+c}=bm+3c \)
+
\( A^{B n + C} = B m+ C \)
  +
  +
Example of solution:
  +
  +
\( A=3 \) <br>
  +
\( B=100 \)<br>
  +
\( C=87 \)<br>

Latest revision as of 22:24, 14 January 2020

Kuznetsova equation refers to problem below.

Find integer \( A,B,C \) such that

for any non-negative integer \( n \) there exist integer \( m \) such that

\( A^{B n + C} = B m+ C \)

Example of solution:

\( A=3 \)
\( B=100 \)
\( C=87 \)